Model Reduction via Frequency Weighted Balanced Realization

Lin, Chin-Teng; Chiu, Tai-Yih

doi:10.23919/acc.1990.4791093

Cited by 58 publications

(131 citation statements)

References 5 publications

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“…The methods include an extension of balanced truncation by Enns [11] with input, output or weightings on both input and output. Lin and Chiu's [12] method overcomes problems with system instability in double-sided weighting. Varga and Anderson [13] modified Lin and Chiu's method to account for no polezero cancellation in Lin and Chiu's method for controller design.…”

Section: Previous Literature Reviews On Model Reductionmentioning

confidence: 99%

Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review

Wagner

Younan

Allaire

et al. 2010

International Journal of Rotating Machinery

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The focus of this literature survey and review is model reduction methods and their application to rotor dynamic systems. Rotor dynamic systems require careful consideration in their dynamic models as they include unsymmetric stiffness, localized nonproportional damping, and frequency-dependent gyroscopic effects. The literature reviewed originates from both controls and mechanical systems analysis and has been previously applied to rotor systems. This survey discusses the previous literature reviews on model reduction, reduction methods applied to rotor systems, the current state of these reduction methods in rotor dynamics, and the ability of the literature to reduce the complexities of large order rotor dynamic systems but allow accurate solutions.

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Section: Previous Literature Reviews On Model Reductionmentioning

confidence: 99%

Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review

Wagner

Younan

Allaire

et al. 2010

International Journal of Rotating Machinery

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“…However, with both weightings, the method may yield unstable models. In order to overcome this problem, several methods such as [6,[8][9][10] were introduced. Karimaghaee et al [8] developed a method for model reduction based on definition of controllability and observability grammians in the frequency domain.…”

Section: Introductionmentioning

confidence: 99%

Frequency Weighted Discrete-Time Controller Order Reduction Using Bilinear Transformation

Karimaghaee¹,

Noroozi²

2011

Journal of Electrical Engineering

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This paper addresses a new method for order reduction of linear time invariant discrete-time controller. This method leads to a new algorithm for controller reduction when a discrete time controller is used to control a continuous time plant. In this algorithm, at first, a full order controller is designed in s -plane. Then, bilinear transformation is applied to map the closed loop system to z -plane. Next, new closed loop controllability and observability grammians are calculated in z -plane. Finally, balanced truncation idea is used to reduce the order of controller. The stability property of the reduced order controller is discussed. To verify the effectiveness of our method, a reduced controller is designed for four discs system. K e y w o r d s:

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“…In addition, frequency weighted balancing has been developed to approximate the system over a range of frequencies. [3], [9], [14] and [15] provide different schemes for frequency weighted balancing. Another category of model reduction approaches is Krylov based methods which are based on moment matching.…”

Section: Introductionmentioning

confidence: 99%